Question

add. write your answer in simplest form.
$-10sqrt{3} + 4sqrt{3}$

Explanation:

Step1: Identify like terms

The terms \(-10\sqrt{3}\) and \(4\sqrt{3}\) are like terms because they have the same radical part \(\sqrt{3}\).

Step2: Combine coefficients

To combine like terms, we add the coefficients of \(\sqrt{3}\). The coefficients are \(-10\) and \(4\). So, \(-10 + 4=-6\).

Step3: Write the result

Multiply the combined coefficient by the radical part \(\sqrt{3}\). So, \(-10\sqrt{3}+4\sqrt{3}=(-10 + 4)\sqrt{3}=-6\sqrt{3}\).

Answer:

\(-6\sqrt{3}\)